(x-4)*(x+4)-6x=(x-2)^2
Expand the left side(x^2 - 16) - 6x = x^2 - 4x + 4
Subtract x^2 from both sides-16 - 6x = -4x + 4
Add 6x to both sides-16 = 2x + 4
Subtract 4 from both sides-20 = 2x
Divide by 2x = -10
Therefore, the solution to the equation is x = -10.
(x-4)*(x+4)-6x=(x-2)^2
Expand the left side
(x^2 - 16) - 6x = x^2 - 4x + 4
Subtract x^2 from both sides
-16 - 6x = -4x + 4
Add 6x to both sides
-16 = 2x + 4
Subtract 4 from both sides
-20 = 2x
Divide by 2
x = -10
Therefore, the solution to the equation is x = -10.